The propagation problem of two-dimensional elastic wave in macroscopical inhomogeneous medium was analyzed. As the physical properties of medium are variable with space, the elastic wave propagation in this medium should be described by a set of inhomogeneous wave equations which conclude the space derivatives of the medium properties. By solving the inhomogeneous wave equations with finite element method, the elastic wave propagation characteristics in inhomogeneous medium whose physical properties vary with vertical gradients were studied and discussed. Results show that the planar elastic wave converges or diverges respectively when the wave velocity ascends or descends symmetrically in the vertical direction. Moreover, when the profile of the wave velocity is arc-hyperbolic secant, the planar elastic wave focuses periodically on the symmetric axis.